Here's why:
* Electrostatic Equilibrium: A charged conductor, like a hollow metal sphere, will reach electrostatic equilibrium. This means the charges will distribute themselves on the surface of the conductor in a way that minimizes the potential energy.
* Charge Distribution: The negative charge on the sphere will distribute itself evenly over the outer surface. This is because like charges repel each other.
* Gauss's Law: Gauss's Law states that the total electric flux through any closed surface is proportional to the enclosed charge. If you imagine a Gaussian surface inside the hollow sphere, there's no enclosed charge within that surface. Therefore, the electric flux through that surface is zero, and so is the electric field strength inside the sphere.
In summary: The electric field inside a hollow charged sphere is zero because the charges are distributed entirely on the outer surface.
